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Finding the Fourth Proportional to 493,394.09, 680,900.31 and 302,370.57

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Solution

The fourth proportional to 493,394.09, 680,900.31 and 302,370.57 is: 417,281.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,394.09 : 680,900.31 = 302,370.57 : x
  2. Step 2: Convert to fraction form
    493,394.09/680,900.31 = 302,370.57/x
  3. Step 3: Cross multiply
    493,394.09x = 680,900.31 × 302,370.57
  4. Step 4: Simplify right side
    493,394.09x = 205,884,214,847.88
  5. Step 5: Solve for x
    x = 205,884,214,847.88/493,394.09
  6. Step 6: Final answer
    x = 417,281.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.